(30 points) Circle A is____ to circle B.
A. Tangent
B. Concentric
C. Coplanar
D. Congruent

The given angles are- a= 62, b = 25, c = 99, d = 141, e = 42, f = 76, g = 88, h = 100, k = 72, m = 104, n = 71, p = 118, q = 82, r = 94, and s = 121.

Here, we are given a figure as shown in the image above.

We know that angles on a straight line are supplementary, that is, the sum of all the angles on a straight line is 180.

Thus, we can easily form the following equations and find the angles-

a + 118 = 180

a = 62

a + 93 + b = 180

⇒ 62 + 93 + b = 180

b = 25

3b + 6 + c = 180

75 + 6 + c = 180

⇒ c = 99

c - 60 + d = 180

99 - 60 + d = 180

⇒ d = 141

d- 3 + e = 180

141 - 3 + e  = 180

⇒ e = 42

2e + 20 + f = 180

84 + 20 + f = 180

⇒ f = 76

f + 16 + g = 180

76 + 16 + g = 180

⇒ g = 88

g - 8 + h = 180

88 - 8 + h = 180

⇒ h = 100

h + 8 + k = 180

100 + 8 + k = 180

⇒ k = 72

k + 4 + m = 180

72 + 4 + m = 180

⇒ m = 104

m + 5 + n = 180

104 + 5 + n = 180

⇒ n = 71

n - 9 + p = 180

71 - 9 + p = 180

⇒ p = 118

p - 20 + q = 180

118 - 20 + q = 180

⇒ q = 82

q + 4 + r = 180

82 + 4 + r = 180

⇒ r = 94

r - 35 + s = 180

94 - 35 + s = 180

⇒ s = 121

Thus, we get the given angles as- a= 62, b = 25, c = 99, d = 141, e = 42, f = 76, g = 88, h = 100, k = 72, m = 104, n = 71, p = 118, q = 82, r = 94, and s = 121.

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The number of participants that didn't take part is 2000.

Let the number of people that take part in the race be x.

From the information, 5000 people were expected to run and lose 7000000 calories. some didnt run and only 4.2x10^6 calories were lost. It should take about 4.2x10^6 = 4200000.

This will be illustrated as:

x/5000 = 4200000 / 7000000

x = (5000 × 4200000) / 7000000

x = 3000

Therefore, 3000 took part. Those that didn't take part will be:

= 5000 - 3000.

= 2000

Therefore, 2000 people didn't take part.

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After the conversion of units, 2.5 gallons to quarts is 12 quarts.

So, 1 gallon = 4.8 quarts:

Now,

Therefore, after the conversion of units, 2.5 gallons to quarts is 12 quarts.

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Answer:

V = 1156.11

Step-by-step explanation:

V = πr^2h

V = π(4)^2(23)

V = π(16)(23)

V = π(368)

V = 1156.11

Using stem-and-leaf plot, Option (d) choices include 13, 14, 16, 21, 22, 28, 29, 30, 32, 34, 34, and 45.

To display numerical data, a stem and leaf plot separates each data point into a "leaf" (typically the last digit) and a "stem" (the leading digit or digits).

Stem and leaf plot in this query

1 ∣ 3 4 6

2 ∣ 1 2 8 9

3 ∣ 0 2 4 4

4 ∣ 5

Key: 1 | 3 equals 13.

Slice the leaf and stem -

1 | 3, 1 | 4, 1 | 6, 2 | 1, 2 | 2, 2 | 8, 2 | 9, 3 | 0, 3 | 2, 3 | 4, 3 | 4, 4 | 5

You'll see the selection every option that fits the data (d)

Consequently, the response will be 13, 14, and 16,  21, 22, 28, 29, 30, 32, 34, 34, 45

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​

Answer: x = 38

116

38

28

Step-by-step explanation:

2x + 40 + x + x - 12 = 180

Simplify.

4x + 28 = 180

Subtract 28 on both sides.

4x = 152

Divide by 4 on both sides.

x = 38



If Fred and Bob share sweets in the ratio 3:7, Bob gets 48 sweets more than Fred. There are 120 sweets in total.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

By given

Fred and Bob share sweets in the ratio 3:7 ,Bob gets 48 sweets more than Fred.

Let x be the sweets with Fred.

Let us form a equation by the given data

3/7=x/(x+48)

Apply cross multiplication

3(x+48)=7x

Apply distributive property on left side.

3x+144=7x

Subtract 3x from both sides.

144=7x-3x

144=4x

Divide both sides by 4.4

x=36

Fred has 36 sweets and Bob has 36+48=84 sweets.

The total number of sweets is 36+84

120

Hence there are 120 sweets in total.

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Taking out the equation of line in the given questions

What is Slope-Intercept?

One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis)

9) slope = 2/3 and points (-1, 2)

Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.

To solve this problem:

y=mx + b

2 = (2/3)(-1) + b

2 = (-2/3) + b

2 + 2/3 = b

(6 + 2)/3 = b

4/3 = b

so slope intercept form is y = (2/3)x + 4/3

10) slope = 5/4 and points (12,15)

Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.

To solve this problem:

y=mx + b

15 = (5/4)(12) + b

15 = (5)(3) + b

15 = 15 + b

15 - 15 = b

b = 0

so slope intercept form is y = (5/4)x + 0

11) slope = 4 points (0, -1)

Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.

To solve this problem:

y=mx + b

-1 = 4(0) + b

-1 = 0 + b

-1 = b

so slope intercept form is y = 4x - 1

12) slope = -1/4 and (1,-1)

Slope intercept form is y=mx + b. In this equation, m is the slope and b is the y-intercept. Point slope form is y-y1= m(x-x1). In this equation, m is again the slope and x1,y1 is where you plug in points from the line.

To solve this problem:

y=mx + b

-1 = (-1/4)(1) + b

-1 = -1/4 + b

1/4 - 1 = b

(1 - 4)/4 = b

-3/4 = b

so slope intercept form is y = (-1/4)x - 3/4

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The length of the building is equal to 1440 inches

To solve this problem, we simply need to convert the length from feet to inches.

So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number and this will make it easy on our question since its a significant figure.

From metric units;

1 feet is equal to 12 inches

To convert 120 feet to inches, we simply have to multiply 120 by 12 to get the value in inches.

Let the value of the unknown be represented by x

[tex]1ft = 12in\\120ft = x\\x = 120 * 12 \\x = 1440in[/tex]

The length of the monument is equal to 1440 inches.

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Answer:

2n, -n, 7n

Step-by-step explanation:

Like terms have the same variable parts.

The terms 2n, -n, and 7n, have n as the variable parts, so the like terms are

2n, -n, 7n

The only term that is not a like term here is -4.

Answer: 1

Step-by-step explanation: Well, the like term was going to be n, because 3 of the things have a n. But, because of the 4, the like term isn't n. and because n is the same as 1n, the only like term is one

The tip of the minute hand moves in a circle of radius exists 6 in. In 25 minutes, the tip of the minute hand moves 15.7 in

The arc length of a circle can be estimated with the radius and central angle utilizing the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ exists in degree.

The tip of the minute hand moves in a circle of radius R = 6in.

We will find that for each case, 15 minutes and 25 minutes, the distance traveled is 9.42 in and 15.7 in correspondingly.

Remember that the length of an arc is defined by an angle θ in a circle of radius R is given by:

L = (θ/360°) × 2 × pi × R

We know that R = 6in.

To find how much the tip of the minute hand moves in 15 minutes.

Then we need to find the angle θ that the tip moves in these 15 minutes.

Remember that a complete rotation in the clock has 60 minutes.

This means that there exists an equivalence:

60 min = 360°

1 = (360°/60 min)

15 min = (15 min) × (360°/60 min) = 90°

Then, in 15 minutes, the tip of the minute hand moves:

L = (90°/360°) × 2 × 3.14 × 6in = 9.42 in

For the case of 25 minutes the procedure is the same:

25 min = (25 min) × (360°/60 min) = 150°

Then, in 25 minutes, the tip of the minute hand moves:

L = (150°/360°) × 2 × 3.14 × 6in = 15.7 in

Therefore, the correct answer is 15.7 in.

The complete question is:

The minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 minutes? how far does it move in 25 minutes? round answers to two decimal places.

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Given:

Principal amount, P = $3000

Time, t = 10 years

Let's solve for the following:

• (a). Find the value of the investment if the interest is 6.2% compounded monthly.

Apply the compound interest formula:

Where:

• P is the principal = $3000

• r is the interest rate = 6.2% = 0.062

• n is the number of times compounded = monthly = 12 months a year

• t is the time in years = 10 years

Plug in these values and solve for the value, A:

Therefore, if it is compounded monthly, the value at the end of 10 years is $5567.89

• (b). 6.2% compounded daily

In this case, the number of times compounded will be:

n = 365 times a year.

Thus, we have:

If it is compounded daily, the value at the end of 10 years will be $5576.49

ANSWER:

(a). $5567.89

(b).

The probability least 1 zodiac sign match astrological signs is just the product of (12/12)(11/12 … (8/12).

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability. Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated.

The probability that in a group of five friends, at least two share the same astrological sign

= 1 - the probability that all five friends have different astrological signs

= 1 - (12/12)(11/12)(10/12)(9/12)(8/12)

= 1 - 12P5/125

= 1 - 0.381944

= 0.618056

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Answer:105 i believe so

Step-by-step explanation:

Answer:

105 members

Step-by-step explanation:

[tex]1.25 \times 84 = 105[/tex]

The cumulative distribution function of x is 0.60.

Here X has discrete probability distribution.

[tex]$$\begin{aligned}&\mathrm{P}(\mathrm{X}=1)=0.30 \\&P(X=3)=F(3)-F(1)=0.40-0.30=0.10 \\&P(X=4)=F(4)-F(3)=0.45-0.40=0.05 \\&P(X=6)=F(6)-F(4)=0.60-0.45=0.15 \\&P(X=12)=F(12)-F(6)=1-0.60=0.40\end{aligned}$$[/tex]

Following table shows the pmf:

X P(X=x)

1 0.3

3 0.1

4 0.05

6 0.15

12 0.4

Following is the graph of CDF is [SEE in attachement]

[tex]$P(3 \leq X \leq 6)=F(6)-F(1)=0.60-0.30=0.30$$P(X \geq 4)=1-F(3)=1-0.40=0.60$[/tex]

The probability function that X will have a value less than or equal to x is known as the Cumulative Distribution Function (CDF) of a real-valued random variable X, evaluated at x. It is employed to describe a table's random variables' probability distribution.

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Answer:

it'd be "the product OF a number y and 2."  Answer:  2y.

Step-by-step explanation:

The slope for the given points is -0.25.

What is the slope?

Given points are (-4 7) and (8,4)

Slope can be calculated as y2-y1/x2-x1

m=(4-7)/(8-(-4)) =-0.25

The slope for the given points is -0.25.

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The rate of lemons being used in lemons per cup of lemonade is approximately 1.67 lemons per cup of lemonade.

Unit rate is the measure of an item per one of another item.

Number of lemons = 5

Number of cups of lemonade = 3

Rate of lemons being used in lemons per cup of lemonade = Number of lemons / Number of cups of lemonade

= 1.666666666666666

Approximately,

1.67 lemons per cup of lemonade

In conclusion, 1.67 lemons per cup of lemonade is Kayden's lemonade recipe.

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Answer:

The width is 72

Step-by-step explanation:

1. isn't an exponential function

2. growths

3. growths

4. decay

5. growths

The exponential operations have the subsequent formula: y = K1 × [tex]K2^{(k3*t)}[/tex], where K3, K2, and K1 are constants and K2 is more distinguished than zero.

Exponential operation graphs either decrease or always increase.

To determine whether the operation increases or declines, just consider it at two points, for example, t = 0 and t = 1, and compare the consequences.

1. y = 100 × [tex](1 - 12)^x[/tex] = 100 × [tex](-11)^x[/tex]

Because (-11) is a negative number, y is not an exponential function.

2. y(0) = 0.1 × [tex](1.25)^0[/tex] = 0.1

y(1) = 0.1 × (1.25) = 0.125

y(1) > y(0) → growths

3. y(0) =((1−0.03) × 12)² × (0) = 1

y(0) =((1 − 0.03) × 12)²= 135.4896

y(1) > y(0) → growths

4. y(0) = 426 × [tex](0.98)^0[/tex] = 426

y(1) = 426 × [tex](0.98)^1[/tex] = 417.48

y(1) < y(0) → decay

5. y(0) = 2050 × [tex](12)^{0}[/tex] = 2050

y(1) = 2050 × 12 = 24600

y(1) > y(0) → growths

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The question is -

Does each function describe exponential growth or decay?

Drag and drop the equations into the boxes to correctly complete the table.

Growth Decay

The height of the antenna is 0.54m.

Let the height of the antenna be represented by x, and the distance from Cai's eyes to the top of building A by y. And let z = x + y, so that:

Tan 24,

y = Tan 24 x 21

y = 0.4452 x 21

y = 9.3492

y = 0.93 m

Also, Tan 35,

z = Tan 35 x 21

z = 0.7002 x 21

z = 14.7042

z = 1.47 m

Therefore,

x = z - y

x = 1.47 - 0.93

x = 0.54

x = 0.54 m

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Answer: 5

Step-by-step explanation:

18. ∠1 = ___°

19. ∠2 = ___°

20. ∠3 = ___°

21. ∠5 = ___°

The event containing the outcomes belonging to a or b or both is the union of a and b.

Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)

The union of these two sets will give:

aUb=(x, y, z, o, p, q)

Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.

Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.

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Answer:

200

Step-by-step explanation:

1000/5
Cancel the common factor of 1000 and 5.

Answer:

gradient = 4

Step-by-step explanation:

use the slope ( gradient) formula to find gradient m

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 0) and (x₂, y₂ ) = (6,8) ← 2 points on the line

m = [tex]\frac{8-0}{6-4}[/tex] = [tex]\frac{8}{2}[/tex] = 4

Answer:

-0.25

Step-by-step explanation:

Answer: 20.51%

Step-by-step explanation: This question uses the binomial distribution.

210/1024=105/512≈0.2051

The system of equation are

y=-x²+2x-9

y=-6x+6

The solution of the system of equation is (5,-24) and (3,-12). Option-A is correct.

Given that,

The system of equation are

y=-x²+2x-9

y=-6x+6

We must identify the equation system's solutions.

A system of equations is a collection of equations with one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the intersections of all of these equations.

Take the equation.

y=-x²+2x-9

y=-6x+6

We can write as

-x²+2x-9=-6x+6

-x²+2x-9+6x-6=0

-x²+8x-15=0

x²-8x+15

By solving the factorization we get the x values.

x²-5x-3x+15=0

x(x-5)-3(x-5)=0

(x-5)(x-3)=0

Take,

x-5=0    (or)    x-3=0

x=5        (or)    x=3

Take x=5 and substitute in the equation.

y=-6x+6=-6(5)+6=-30+6=-24

Take x=3 and substitute in the equation.

y=-6x+6=-6(3)+6=-18+6=-12

Therefore, The solution of system of equation is (5,-24) and (3,-12). Option-A is correct.

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Absolute value x, -x

|n| + 2 ≥ 5

then

|n| ≥ 5 - 2

|n| ≥ 3

Then eliminate parenthesis

n ≥ 3

and

n ≤ -3

Then answer is

n ≤ - 3,. 3 ≤ n

Graph of |n| + 2 ≥ 5

Question 9

|x - 2| - 5 < -2

then

|x - 2| < 5 - 2

|x - 2| < 3

Then eliminate parenthesis

x - 2 < 3

(x - 2) < -3

Then answer is

x< 5

x < -1

New graph question 9

The volume of the waffle of come is 44.7735 inches².

The volume of a cone is calculated as:

= 1/3 πr²h

where π = 3.142

r = radius = Diameter / 2 = 3/2 = 1.5

h = height = 19

The volume will now be:

V = 1/3 πr²h

V = 1/3 × 3.142 × 1.5² × 19

V = 44.7735 inches²

The volume is 44.7735 inches².

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Answer:

135 cookies

Step-by-step explanation:

If the baker starts with 1382 cookies and uses 302 of them then they'll have 1080 left because 1382-302=1080. Then, if she wants to make cookies with 8 chocolate chips each, then she can make 135 cookies because 1080/8=135.